1. For what value of k, x=a is a solution of equation x2-(a+b)x+k =0 ?
2.Rohan ‘s mother is 26 years older than him . the product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
3.Find the roots of x2-3x-10 = 0
4.Find two consecutive positive integers , sum of whose squares is 365.
5.Find the discriminant of the Quadratic equation 2x2-4x+3 = 0 and hence find the nature of its roots .
6.If x=2 and x=3 are roots of the equation 3x2-2kx+2m find the value of k and m.
7.Solve the equation 2x2-5x+3=0 using completing square method
8.Using the quadratic formula solve the equation px2xx2+(px2 - qx2)x -qx2 =0
9.In a class test , the sum of shefali‘s marks in maths and English is 30. Had she got 2 marks more in maths and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
10.Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
11.Solve the following equation for ‘x’ 9x2- 9(a+b)x2 + ( 2a2+5ab+2b2 ) = 0
12.If the roots of the equation (a-b)x2 +(b-c)x + (c-a) = 0 are equal , prove that 2a =b+c.
13.A person on tour has Rs. 360 for his daily expenses. If he exceeds his tour program me by four days, he must cut down his daily expenses by Rs 3 per day. Find the number of days of his tour program me.
14.Solve for x: 9x2-6ax+(a2-b2)=0
15. if the equation (1+m2)x2+2mcx+c2-a2=0 has equal roots, show that c2=a2(1+m2)
16.An express train takes 1 hour less than a passe nger train to travel 132 km between Mysore and Bangalore (without taking into consideration the ti me they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.
17.Find the value of k for 4x2 – 2(k + 1)x + (k + 4) = 0, so that it has two equal roots.
18.A motor boat whose speed is 18 km/h in still wa ter takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find th e speed of the stream.
19.Solve for x: 5x+1 +51-x
20.Solve 12abx2-9a2x+8b2x-6ab=0
21.. A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time t aken by B to finish the work.
22.Determine the nature of the roots of the Quadratic equation 9a2b2x2-24abcdx+16c2d2=0
23.
24.
25.
26.
2.Rohan ‘s mother is 26 years older than him . the product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
3.Find the roots of x2-3x-10 = 0
4.Find two consecutive positive integers , sum of whose squares is 365.
5.Find the discriminant of the Quadratic equation 2x2-4x+3 = 0 and hence find the nature of its roots .
6.If x=2 and x=3 are roots of the equation 3x2-2kx+2m find the value of k and m.
7.Solve the equation 2x2-5x+3=0 using completing square method
8.Using the quadratic formula solve the equation px2xx2+(px2 - qx2)x -qx2 =0
9.In a class test , the sum of shefali‘s marks in maths and English is 30. Had she got 2 marks more in maths and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
10.Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
11.Solve the following equation for ‘x’ 9x2- 9(a+b)x2 + ( 2a2+5ab+2b2 ) = 0
12.If the roots of the equation (a-b)x2 +(b-c)x + (c-a) = 0 are equal , prove that 2a =b+c.
13.A person on tour has Rs. 360 for his daily expenses. If he exceeds his tour program me by four days, he must cut down his daily expenses by Rs 3 per day. Find the number of days of his tour program me.
14.Solve for x: 9x2-6ax+(a2-b2)=0
15. if the equation (1+m2)x2+2mcx+c2-a2=0 has equal roots, show that c2=a2(1+m2)
16.An express train takes 1 hour less than a passe nger train to travel 132 km between Mysore and Bangalore (without taking into consideration the ti me they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.
17.Find the value of k for 4x2 – 2(k + 1)x + (k + 4) = 0, so that it has two equal roots.
18.A motor boat whose speed is 18 km/h in still wa ter takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find th e speed of the stream.
19.Solve for x: 5x+1 +51-x
20.Solve 12abx2-9a2x+8b2x-6ab=0
21.. A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time t aken by B to finish the work.
22.Determine the nature of the roots of the Quadratic equation 9a2b2x2-24abcdx+16c2d2=0
23.
24.
25.
26.
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